Relativistic quantum effects of confining potentials on the Klein-Gordon oscillator
Departamento de Fısica, Universidade Federal da Paraıba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil
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Revised: 17 December 2015
Accepted: 23 December 2015
Published online: 17 February 2016
The behaviour of the Klein-Gordon oscillator under the influence of linear and Coulomb-type potentials is investigated. The introduction of the scalar potentials is made by modifying the mass term of the Klein-Gordon equation, then, by searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein-Gordon oscillator on the quantum numbers associated with the radial modes and the angular momentum. As an example, we analyse the angular frequency and the energy level associated with the ground state of the relativistic system.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016